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Teoreticheskaya i Matematicheskaya Fizika, 2009, Volume 160, Number 2, Pages 333–351
DOI: https://doi.org/10.4213/tmf6402 (Mi tmf6402) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Principle of stationary action in the theory of superfluid systems with spontaneously broken translational symmetry

A. S. Peletminskii, S. V. Peletminskii

Akhiezer Institute for Theoretical Physics, National Science Center "Kharkov Institute of Physics and Technology", Kharkiv, Ukraine
Full-text PDF (461 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf6402
Abstract: We construct a Lagrangian describing the low-frequency dynamics of a system with spontaneously broken phase and translational symmetry (a supersolid). Using the principle of stationary action, we obtain the hydrodynamic equations for the considered system. We give a relativistic generalization of the obtained equations of motion in terms of the Gibbs thermodynamic potential density.
Keywords: Lagrangian, hydrodynamic equation, superfluidity, lattice, equation of motion, relativistic invariance.
Received: 29.12.2008
English version:
Theoretical and Mathematical Physics, 2009, Volume 160, Issue 2, Pages 1146–1160
DOI: https://doi.org/10.1007/s11232-009-0107-2
Bibliographic databases:
Language: Russian
Citation: A. S. Peletminskii, S. V. Peletminskii, “Principle of stationary action in the theory of superfluid systems with spontaneously broken translational symmetry”, TMF, 160:2 (2009), 333–351; Theoret. and Math. Phys., 160:2 (2009), 1146–1160
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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  • https://www.mathnet.ru/eng/tmf6402
  • https://doi.org/10.4213/tmf6402
  • https://www.mathnet.ru/eng/tmf/v160/i2/p333
    • This publication is cited in the following 2 articles:
    1. Peletminskii A.S., Peletminskii V S., Slyusarenko V Yu., “Su(3) Symmetry in Theory of a Weakly Interacting Gas of Spin-1 Atoms With Bose-Einstein Condensate”, Phys. Lett. A, 384:31 (2020), 126798  crossref  mathscinet  isi
    2. Bulakhov M.S. Peletminskii A.S. Peletminskii V S. Slyusarenko V Yu. Sotnikov A.G., “Re-Examining the Quadratic Approximation in Theory of a Weakly Interacting Bose Gas With Condensate: the Role of Nonlocal Interaction Potentials”, J. Phys. B-At. Mol. Opt. Phys., 51:20 (2018), 205302  crossref  mathscinet  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:98
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